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Finding the Third Proportional to 87,379.13 and 191,112.38

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Solution

The third proportional to 87,379.13 and 191,112.38 is: 417,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,379.13 : 191,112.38 = 191,112.38 : x
  2. Step 2: Convert to fraction form
    87,379.13/191,112.38 = 191,112.38/x
  3. Step 3: Cross multiply
    87,379.13x = 191,112.38 × 191,112.38
  4. Step 4: Simplify right side
    87,379.13x = 36,523,939,878.14
  5. Step 5: Solve for x
    x = 36,523,939,878.14/87,379.13
  6. Step 6: Final answer
    x = 417,993.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.